Finding the Third Proportional to 30,478.50 and 40,766.63

Step by Step Solution

1. Step 1: Write the proportion equation
   30,478.50 : 40,766.63 = 40,766.63 : x
2. Step 2: Convert to fraction form
   30,478.50/40,766.63 = 40,766.63/x
3. Step 3: Cross multiply
   30,478.50x = 40,766.63 × 40,766.63
4. Step 4: Simplify right side
   30,478.50x = 1,661,917,713.89
5. Step 5: Solve for x
   x = 1,661,917,713.89/30,478.50
6. Step 6: Final answer
   x = 54,527.54